105636672 has 42 divisors (see below), whose sum is σ = 302790098. Its totient is φ = 35212032.

The previous prime is 105636617. The next prime is 105636709. The reversal of 105636672 is 276636501.

105636672 is a `hidden beast` number, since 10 + 5 + 636 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 33454656 = 8496^2 + 5784^2 .

It is a super-2 number, since 2×105636672² = 22318212942471168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91123 + ... + 92274.

Almost surely, 2^105636672 is an apocalyptic number.

105636672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105636672 is an abundant number, since it is smaller than the sum of its proper divisors (197153426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105636672 is a wasteful number, since it uses less digits than its factorization.

105636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183415 (or 183402 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 105636672 is about 10277.9702276276. The cubic root of 105636672 is about 472.7210085596.

The spelling of 105636672 in words is "one hundred five million, six hundred thirty-six thousand, six hundred seventy-two".